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Acta Sinica Quantum Optica

Teleportation of an Unknown Two-particle Three-level Entangled State by Unitary Operations

Shou Zhang

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

This paper shows a proposal for the teleportation of an unknown two-particle three-level entangled state to two receivers that are spatially separated using an unknown five-particle three-level entangled state as the quantum channel.What must be emphasized is that the proposal can be extended to teleport an unknown N-particle three-level entangled state to M receivers using an unknown(N·M+1)-particle three-level entangled state as the quantum channel at the cost of performing appropriate unitary transformations and(N·M+1) separate measurement.This proposal doesn′t concern nith Bell-state measurements.

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This paper shows a proposal for the teleportation of an unknown two-particle three-level entangled state to two receivers that are spatially separated using an unknown five-particle three-level entangled state as the quantum channel.What must be emphasized is that the proposal can be extended to teleport an unknown N-particle three-level entangled state to M receivers using an unknown(N·M+1)-particle three-level entangled state as the quantum channel at the cost of performing appropriate unitary transformations and(N·M+1) separate measurement.This proposal doesn′t concern nith Bell-state measurements.
We have explicitly shown a teleportation scheme which allows Alice to probabilistically teleport an unknown 2-particle entangled state to either of the two receivers,Bob or Charlie,by using a non-maximally entangled 5-particle state as quantum channel.The scheme can be generalized to teleport an unknown N-(particle) entangled state to M receivers using a(N·M+1)-particle state as quantum channel at the expense of performing one CNOT operation,N·M Hadamard operations,appropriate unitary transformation without performing Bell-state measurement.
A scheme for teleporting an arbitrary three-particle W state from a sender to either of the two receivers is proposed,where the three three-particle W states quantum channel are taken as quantum channels.There are two ways to realize the intention of teleportation.It is proved that,for such maximally entangled quantum channels,there is still a certain probability of successful teleportation if the sender performs three generalized Bell-state measurements while either of the two receivers performs an appropriate unitary transformation with the help of the other suitable measurements in the basis of {|0,|1} and classical information;on the other hand,the probability of successful teleportation is not affected by the order of operations.The present scheme may be directly generalized to teleport an unknown N-particle W state from a sender to either of the two receivers by using N W states as quantum channels,as well as performing N Bell measurements.
We present a scheme to teleport an unknown three-particle entangled state from a sender to either one of two receivers. The partial three-particle entangled state and the three-particle entangled W state are considered as the quantum channels. An unknown three-particle entangled state can be perfectly teleported probabilistically by performing two generalized Bell measurements and the Hadamard operation at the sender's side and introducing an appropriate unitary transformation in each receiver's laboratory conditioned on the simple measurement outcome of the other. All kinds of unitary transformations are given in details. This scheme can be directly generalized to teleport an unknown three-particle entangled state from a sender to any one of N receivers by the partial three-particle entangled state and the ( N + 1)-particle entangled W state.
In this paper, two schemes for teleporting an unknown three-particle three-level entangled state are proposed. In the first scheme, two partial three-particle three-level entangled states are used as the quantum channels, while in the second scheme, three two-particle three-level non-maximally entangled states are employed as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both two schemes, if a receiver adopts some appropriate unitary transformations. It is shown also that the successful probabilities of these two schemes are different.
We present a scheme for teleporting an unknown arbitrary two-particle state from a sender to either one of two receivers. The quantum channel is composed of two partial entangled three-particle GHZ states. An unknown arbitrary two-particle state can be perfectly teleported probabilistically if the sender performs two generalized Bell-state measurements and each receiver introduces an appropriate unitary transformation with the help of the other receiver's Hadamard operations and simple measurements.